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Pseudodifferential Analysis on Conformally Compact Spaces

Pseudodifferential Analysis on Conformally Compact Spaces PDF Author: Robert Lauter
Publisher: American Mathematical Soc.
ISBN: 0821832727
Category : Mathematics
Languages : en
Pages : 114

Book Description
The $0$-calculus on a manifold with boundary is a micro-localization of the Lie algebra of vector fields that vanish at the boundary. It has been used by Mazzeo, Melrose to study the Laplacian of a conformally compact metric.

Pseudodifferential Analysis on Conformally Compact Spaces

Pseudodifferential Analysis on Conformally Compact Spaces PDF Author: Robert Lauter
Publisher: American Mathematical Soc.
ISBN: 0821832727
Category : Mathematics
Languages : en
Pages : 114

Book Description
The $0$-calculus on a manifold with boundary is a micro-localization of the Lie algebra of vector fields that vanish at the boundary. It has been used by Mazzeo, Melrose to study the Laplacian of a conformally compact metric.

Uniformizing Dessins and BelyiMaps via Circle Packing

Uniformizing Dessins and BelyiMaps via Circle Packing PDF Author: Philip L. Bowers
Publisher: American Mathematical Soc.
ISBN: 0821835238
Category : Mathematics
Languages : en
Pages : 118

Book Description
Introduction Dessins d'enfants Discrete Dessins via circle packing Uniformizing Dessins A menagerie of Dessins d'enfants Computational issues Additional constructions Non-equilateral triangulations The discrete option Appendix: Implementation Bibliography.

Invariants of Boundary Link Cobordism

Invariants of Boundary Link Cobordism PDF Author: Desmond Sheiham
Publisher: American Mathematical Soc.
ISBN: 0821833405
Category : Mathematics
Languages : en
Pages : 128

Book Description
An $n$-dimensional $\mu$-component boundary link is a codimension $2$ embedding of spheres $L=\sqcup_{\mu}S DEGREESn \subset S DEGREES{n+2}$ such that there exist $\mu$ disjoint oriented embedded $(n+1)$-manifolds which span the components of $L$. This title proceeds to compute the isomorphism class of $C_{

Interpolation of Weighted Banach Lattices/A Characterization of Relatively Decomposable Banach Lattices

Interpolation of Weighted Banach Lattices/A Characterization of Relatively Decomposable Banach Lattices PDF Author: Michael Cwikel
Publisher: American Mathematical Soc.
ISBN: 0821833820
Category : Mathematics
Languages : en
Pages : 142

Book Description
Includes a paper that provides necessary and sufficient conditions on a couple of Banach lattices of measurable functions $(X_{0}, X_{1})$ which ensure that, for all weight functions $w_{0}$ and $w_{1}$, the couple of weighted lattices $(X_{0, w_{0}}, X_{1, w_{1}})$ is a Calderon-Mityagin cou

Self-Similarity and Multiwavelets in Higher Dimensions

Self-Similarity and Multiwavelets in Higher Dimensions PDF Author: Carlos A Cabrelli
Publisher: American Mathematical Soc.
ISBN: 0821835203
Category : Mathematics
Languages : en
Pages : 98

Book Description
Let $A$ be a dilation matrix, an$n \times n$ expansive matrix that maps a full-rank lattice $\Gamma \subset \R DEGREESn$ into itself. Let $\Lambda$ be a finite subset of$\Gamma$, and for $k \in \Lambda$ let $c_k$ be $r \times r$ complex ma

The Connective K-Theory of Finite Groups

The Connective K-Theory of Finite Groups PDF Author: Robert Ray Bruner
Publisher: American Mathematical Soc.
ISBN: 0821833669
Category : Mathematics
Languages : en
Pages : 144

Book Description
Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group

Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines

Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines PDF Author: Hagen Meltzer
Publisher: American Mathematical Soc.
ISBN: 082183519X
Category : Mathematics
Languages : en
Pages : 154

Book Description
Deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves.

Locally Finite Root Systems

Locally Finite Root Systems PDF Author: Ottmar Loos
Publisher: American Mathematical Soc.
ISBN: 0821835467
Category : Mathematics
Languages : en
Pages : 232

Book Description
We develop the basic theory of root systems $R$ in a real vector space $X$ which are defined in analogy to the usual finite root systems, except that finiteness is replaced by local finiteness: the intersection of $R$ with every finite-dimensional subspace of $X$ is finite. The main topics are Weyl groups, parabolic subsets and positive systems, weights, and gradings.

On Central Critical Values of the Degree Four $L$-functions for $\mathrm {GSp}(4)$: The Fundamental Lemma

On Central Critical Values of the Degree Four $L$-functions for $\mathrm {GSp}(4)$: The Fundamental Lemma PDF Author: Masaaki Furusawa
Publisher: American Mathematical Soc.
ISBN: 0821833286
Category : Mathematics
Languages : en
Pages : 158

Book Description
Proves two equalities of local Kloosterman integrals on $\mathrm{GSp}\left(4\right)$, the group of $4$ by $4$ symplectic similitude matrices. This book conjectures that both of Jacquet's relative trace formulas for the central critical values of the $L$-functions for $\mathrm{g1}\left(2\right)$ in [{J1}] and [{J2}].

$h$-Principles and Flexibility in Geometry

$h$-Principles and Flexibility in Geometry PDF Author: Hansjörg Geiges
Publisher: American Mathematical Soc.
ISBN: 0821833154
Category : Mathematics
Languages : en
Pages : 74

Book Description
The notion of homotopy principle or $h$-principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry and topology. Roughly speaking, for a certain differential geometric problem to satisfy the $h$-principle is equivalent to saying that a solution to the problem exists whenever certain obvious topological obstructions vanish. The foundational examples for applications of Gromov's ideas include (i) Hirsch-Smale immersion theory, (ii) Nash-Kuiper $C^1$-isometric immersion theory, (iii) existence of symplectic and contact structures on open manifolds. Gromov has developed several powerful methods that allow one to prove $h$-principles. These notes, based on lectures given in the Graduiertenkolleg of Leipzig University, present two such methods which are strong enough to deal with applications (i) and (iii).